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Abstract |
Nonlinear Stability of Roll Waves
A.Boudlal (USTL-Lab. Mec.-Lille1,
Departent de Mecanique Fondamentale, Villeneuve d'Ascq, France);
V.Yu.Liapidevskii (Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia)
e-mail:
Abdelaziz.Boudlal@univ-lille1.fr
The
stability of finite amplitude roll waves that may develop at a liquid free
surface in inclined open channels of arbitrary cross-section is studied. In the
frame of shallow water theory with turbulent friction the modulation equations
for wave series are derived and a nonlinear stability criterion is obtained.
Section
: 7